Ages 10–11🧮 Mathematics10 verified questions on this shelf

Real-World Mathematical Modelling

Model real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, diagrams, or equations

Try three questions

Tap an answer to check it. Every question and explanation was checked by independent verifiers that must agree.

Question 1 of 3

A rectangular fish tank is 40 cm long, 25 cm wide, and 30 cm high. How many liters of water can it hold when completely full? (Recall that 1 liter = 1,000 cubic centimeters.)

Question 2 of 3

A rectangular garden box is 120 cm long, 80 cm wide, and 45 cm deep. The gardener will fill the box with soil only up to 90 % of its depth. One litre of soil occupies 1,000 cm³, and the soil is packed into bags that each hold exactly 5 litres. How many whole bags of soil are needed to fill the box as described?

Question 3 of 3

A lemonade recipe calls for 4 parts water to 1 part lemon juice. If Maya wants to make a bigger pitcher using 20 parts water, how many parts lemon juice does she need?

Keep going on this shelf

A free account keeps practising Real-World Mathematical Modelling with 10 verified questions, tracks the Skill as it blooms, and connects a real teacher when you want one. Every student account needs a parent's email first.

Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.